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Kelvin to Rankine Converter

Convert Kelvin to Rankine by multiplying by 1.8 (exact). K = °R ÷ 1.8 is the inverse. Use this to integrate SI-based international equipment data into US customary thermodynamic...

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Formula

Source: NIST ITS-90, IAPWS formulations | Last reviewed: June 27, 2026

Examples

0 K

= 0 °R

Absolute zero, common origin for both absolute scales

273.15 K

= 491.67 °R

Water freezing point (0 °C = 273.15 K = 491.67 °R)

293.15 K

= 527.67 °R

Standard room temperature (20 °C / 68 °F)

373.15 K

= 671.67 °R

Water boiling point at 1 atm

647.1 K

= 1164.78 °R

Critical point of water (IAPWS-IF97 standard, 647.096 K)

Quick Reference Table

Kelvin to Rankine Quick Reference
K°RContext
00Absolute zero
77.36139.25Liquid nitrogen boiling point
111199.8LNG saturation (methane at 1 atm)
273.15491.67Water freezing point
293.15527.67Standard temperature
373.15671.67Water boiling point
500900Mid-range industrial process
10001800High-temperature process
15002700Gas turbine combustor (advanced)
20003600Combustion zone

Where is this used?

Kelvin to Rankine is the simplest absolute temperature conversion: multiply by 1.8 (9/5 exactly).

°R = K × 1.8.

This is the reverse of the Rankine-to-Kelvin conversion (K = °R ÷ 1.8), and it preserves the absolute zero point, 0 K = 0 °R.

European and international engineering data, expressed in Kelvin, must often be converted to Rankine for use in US engineering contexts where thermodynamic calculations use °R.

The most common scenario: an international equipment vendor (Siemens Energy, MAN Energy Solutions, Atlas Copco's European division, Alfa Laval, GEA, Howden) supplies compressor or turbine performance curves in Kelvin (suction temperature, discharge temperature, isentropic efficiency reference temperature), and the US EPC contractor or owner-engineer must convert these to °R for integration into the plant heat balance, which was originally built in US customary units.

The factor 1.8 is exact, derived from the definition that 1 K = 1.8 °R, which itself comes from the definitions: 1 K = 1 °C (in size) and 1 °C = 1.8 °F, and 1 °F = 1 °R (in size).

There is no offset because both scales start at absolute zero.

This clean multiplicative conversion means that all SI thermodynamic property correlations expressed in K can be directly expressed in °R by substituting T_°R / 1.8 for T_K, or more commonly, by developing the correlation coefficients in the alternative unit system.

NIST REFPROP (Reference Fluid Thermodynamic and Transport Properties Database) version 10 internally stores all temperature in Kelvin but accepts and outputs in the user's chosen units, when a US user requests results in °R, the software multiplies the internal K values by 1.8 before display.

The same approach is used in CoolProp (the open-source thermodynamic property library).

The K-to-°R conversion is particularly important in international refrigeration and cryogenics: the international standard ISO 817 (Refrigerants, Designation and safety classification) lists refrigerant properties in SI, but US ASHRAE Standard 34 (Designation and Safety Classification of Refrigerants) and the ASHRAE Handbook, Fundamentals refrigerant property tables present data in both SI and I-P (inch-pound) units, with the I-P temperature column in °R obtained by multiplying the K values by 1.8.

For R-134a, the normal boiling point is 247.08 K = 444.74 °R, and the critical temperature is 374.21 K = 673.58 °R, a US engineer reviewing an R-134a chiller design checks that the condenser saturation temperature (typically 105 °F = 564.67 °R) is safely below the critical point at 673.58 °R and that the evaporator (typically 40 °F = 499.67 °R) is above the freezing point of water.

All of these reference values originate from K-based international correlations and are converted to °R for US engineering practice.

Where K-to-°R conversions appear in real engineering work.

Converting international equipment performance data to US units: Modern power generation equipment is increasingly built by international OEMs with global supply chains.

The Siemens HL-class gas turbine (SGT-9000HL), GE's 9HA (designed in Greenville, SC but with international engineering teams), and Mitsubishi's M501JAC all report performance in mixed units depending on the customer.

A US EPC contractor specifying one of these turbines for a domestic project may receive the performance data in K (international default) and must convert to °R (US heat balance standard).

The conversion is applied to every temperature in the heat and material balance: turbine inlet temperature, exhaust temperature, blade metal temperatures, cooling air temperatures.

A 1% error in temperature conversion (introduced by using 273.15 instead of 273 for the °C-to-K offset in a different conversion path) translates to about 1% error in the predicted cycle efficiency, which compounds through the entire plant performance model.

International engineering consulting projects: Engineering consulting firms (Bechtel, Jacobs, Fluor, Worley, Technip Energies, Wood, KBR) operate globally and frequently bridge US and international design standards.

A process engineer at Bechtel's Houston office working on an LNG plant in Mozambique uses SI-based simulation (the Mozambique client uses SI), but the Houston office standard is US customary.

The conversion K → °R (× 1.8) is applied to every simulation output before it's entered into the US-based heat balance spreadsheets.

The accuracy of this conversion is checked at the engineering review stage, a 1 K error (1.8 °R) in the methane liquefaction temperature corresponds to about 0.5% error in the LNG production rate, meaning a 1.5 MTPA LNG plant might be designed for 1.49 or 1.51 MTPA, outside the contractual tolerance and potentially triggering a performance warranty dispute.

Cryogenic gas process design: Air separation plants (ASUs) for oxygen, nitrogen, and argon production operate at cryogenic temperatures, with the distillation columns at 77 K (N₂), 87 K (Ar), and 90 K (O₂) at atmospheric pressure.

The expansion turbines, plate-fin heat exchangers, and cold compressors are typically designed using proprietary software (Linde, Air Products, L'Air Liquide) that operates in SI.

When these designs are reviewed by US engineering teams (e.g., during the engineering of a US-based ASU plant designed by a European vendor), the K-to-°R conversion is applied to every temperature to verify against US code requirements (ASME BPVC Section VIII for pressure vessels, ANSI/AIHA Z9 for oxygen safety).

Aerospace propulsion testing: The US aerospace industry (Boeing, Lockheed Martin, Northrop Grumman, SpaceX, Blue Origin) operates in a hybrid unit system, temperatures in °F or °R for legacy reasons, pressures in psi, but with increasing adoption of SI for international collaboration (especially with ESA, JAXA, and the European aerospace supply chain).

A propulsion test at Stennis Space Center or Edwards Air Force Base measures combustion chamber temperatures in °F (US instruments) but the data is shared with European collaborators in K.

The K-to-°R conversion (× 1.8) is applied at the interface, with the underlying physical measurements identical.

A 1 K error in the combustion chamber temperature translates to about 5 K error in the predicted exhaust gas temperature at the turbine inlet (after combustion expansion), which compounds through the turbine performance calculation.

For liquid rocket engines (SpaceX Merlin, Raptor; Blue Origin BE-3U, BE-4), where combustion temperatures exceed 3,500 K, the absolute temperature accuracy directly affects the specific impulse (Isp) prediction, a 1% error in chamber temperature corresponds to about 0.5% error in Isp, meaning a 350-second Isp engine might be predicted at 348 seconds and end up performing at 352 seconds, missing the specification.

Real-World Usage Scenarios

Combined cycle plant performance simulation

A 1,000 MW combined cycle power plant in Texas uses a Siemens SGT-9000HL gas turbine and Siemens SST-5000 steam turbine. The gas turbine performance map is supplied in metric units (compressor inlet temperature 15 °C = 288.15 K = 518.67 °R; firing temperature 1,600 °C = 1,873.15 K = 3,371.67 °R). The US heat balance is constructed in °R (per the EPC contractor's standard). The conversion K × 1.8 = °R is applied at every state point. The heat balance predicts a net plant efficiency of about 63% (LHV basis). An error of 1 K in the firing temperature (1.8 °R) translates to about 0.1% error in the predicted turbine exhaust temperature and about 0.2% error in the predicted HRSG steam production, a 1.5 MW error in the plant's net output. For a power purchase agreement (PPA) specifying a guaranteed net output, this could be a $5-10 million/year contractual issue.

LNG receiving terminal design verification

A regasification terminal in the US Gulf Coast receives LNG from a foreign supplier. The LNG arrives at approximately −162 °C (111 K, 200 °R saturation) at atmospheric pressure. The regasification process vaporizes the LNG using heat from seawater (typical approach: LNG vaporized to 5 °C, then sent to the pipeline at 30-50 °C). The process simulation is performed in SI (K) by the European contractor designing the vaporizers (Cryostar, Linde Engineering), and the results are converted to US customary (°R) for the US operator's DCS and SCADA displays. The conversion is performed at every state point. A 0.5 K error in the LNG inlet temperature (0.9 °R error) corresponds to about 0.5% error in the LNG vaporization rate, which is the basis for the terminal's throughput guarantee.

Aerospace propulsion data sharing

A US aerospace company tests a rocket engine at a US test facility. The combustion chamber temperature is measured at 3,500 K (a typical LH₂/LOX combustion temperature). The test data is shared with European collaborators (ESA, DLR, CNES, Ariane Group) who prefer K for international standardization. The US team works in °R (× 1.8 from K), so 3,500 K = 6,300 °R. The combustion chamber pressure is 300 bar = 4,351 psia. The specific impulse (Isp) calculation requires the combustion temperature in absolute units, the US team uses °R, the European team uses K. The K-to-°R conversion (× 1.8) is the bridge between the two versions of the data. A 1% error in chamber temperature translates to about 0.5% error in Isp, which is 1-2 seconds for a high-performance engine, meaningful for vehicle performance but within typical measurement uncertainty.

Industry Standards Referenced

ITS-90 ISO 80000-5

Frequently Asked Questions

Is the Kelvin-Rankine conversion exact?

Yes. The factor 1.8 is exactly 9/5, derived from the definitions: 1 °C = 1.8 °F (by definition since 1959) and 1 K = 1 °C in degree size and 1 °R = 1 °F in degree size (by definition). Therefore 1 K = 1.8 °R exactly. No offsets, no approximations. This is the cleanest conversion in all of unit conversion, even cleaner than meters to feet (1 m = 3.28084 ft, not exact).

When would I encounter K in a US engineering context?

Increasingly often. International equipment vendors (Siemens, Alfa Laval, Atlas Copco, Sulzer, Howden, GEA) supply datasheets in SI. Research literature from ASME journals (Journal of Heat Transfer, Journal of Engineering for Gas Turbines and Power) uses both unit systems, authors from US institutions often use °R while international authors use K, and the reader must convert. Computational fluid dynamics (CFD) software (ANSYS Fluent, STAR-CCM+) defaults to SI (K) internally regardless of the displayed unit system. US national labs (NREL, NETL, ORNL) increasingly publish in SI even for domestic audiences.

What if I have a temperature difference (ΔK) to convert to Δ°R?

A temperature difference ΔK converts to Δ°R by multiplying by 1.8 only, no offset. Δ°R = ΔK × 1.8. This is because the offset cancels out when taking a difference. So 50 K of temperature rise equals 90 °R of temperature rise. The same principle applies to all temperature scales: Δ°F = Δ°R, Δ°C = ΔK. Always verify whether your problem asks for a temperature point or a temperature difference, the conversion formula changes.

Reviewed for accuracy

Verified against ITS-90 definitions and international standard thermodynamic data · Last reviewed: June 27, 2026

All calculations are for reference only. Always verify with manufacturer data and a qualified engineer for critical applications. Learn about our editorial process.

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